125311120 has 80 divisors (see below), whose sum is σ = 320211648. Its totient is φ = 45227520.

The previous prime is 125311111. The next prime is 125311127. The reversal of 125311120 is 21113521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 125311094 and 125311103.

It is not an unprimeable number, because it can be changed into a prime (125311127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137707 + ... + 138613.

Almost surely, 2^125311120 is an apocalyptic number.

125311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160105824).

125311120 is an abundant number, since it is smaller than the sum of its proper divisors (194900528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125311120 is a wasteful number, since it uses less digits than its factorization.

125311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 125311120 is about 11194.2449499732. The cubic root of 125311120 is about 500.4144829794.

Adding to 125311120 its reverse (21113521), we get a palindrome (146424641).

The spelling of 125311120 in words is "one hundred twenty-five million, three hundred eleven thousand, one hundred twenty".